Question

Let us continue with analyses of data from the study of M Daviglus et al (N Engl J Med 1997) on the relationship of fish consumption with death from coronary heart disease (CHD) among 1,822 male employees of the Western Electric Company Hawthorne Works in Chicago who were followed for 30 years. we consider the 242 men who reported consumption of ≥ 35 g/day of fish at baseline. Among these 242 men, 46 died of CHD during follow-up.

a. Provide a point estimate and an appropriate 95% confidence interval for the 30- year risk (probability) of CHD death among employees who typically consume at least 35 g/day of fish. Additionally provide a brief interpretation of your confidence interval.

b. Perform a one-sample test to determine whether the 30-year risk (probability) of CHD death in those who consumed at least 35 g/day of fish is significantly different from 0.25. Make sure to specify your null and alternative hypotheses and give a brief conclusion.

Answer 1

a) The point estimate for the 30- year risk (probability) of CHD death among employees who typically consume at least 35 g/day of fish =

For 95% confidence

for 95% confidene

b)

5) Conclusion :

It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that the population proportion p is different than at the significance level.